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Analytic Geometry Name ______________________________ Review for Test –Circle Properties - Arcs and Angles Date ________________ Period _________ MCC9-12.G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles, the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Using Circle J, match the vocabulary word to the correct part of the circle. 1. ________ CH a. Diameter 2. ________ CF b. Radius 3. ________ point J c. Secant 4. ________ A C d. Tangent 5. ________ DK e. Chord 6. ________ ABC f. Central angle 7. ________ <CJH g. Inscribed angle 8. ________ J H h. Semicircle 9. ________ <ACG i. Center Use the diagram of circle O below to answer questions 10-14. 10. WX = _________ 11. XOY = _________ 12. VY = _________ 13. XWV = _________ 14. WZY = _________ Find the value of x in problems 15 – 21. 15. 16. 17. 18. 19. 20. 21. 22. Use the diagram below to answer questions 23 – 27. 23. mQT = _________ PQ is a diameter 24. m QPT = _________ m QTU = 60º 25. mPT = _________ 26. m PQT = _________ 27. m QSU = _________ Use the diagram below to answer questions 28 – 32. 28. y = _________ 29. mBD = _________ 30. mBA = _________ 31. m BCD = _________ 32. mDE = _________ Use the figure below for questions 33 – 36. m A = 62⁰ and mBD = 120⁰. 33. mFB = _________ 34. m DCB = ________ 35. m FED = ________ 36. mFD = 37. Find m JKL in the figure below. 38. ________ Find m MLK in the figure below.